1202.4422 (Jennie D'Ambroise et al.)

Parametric solution of certain nonlinear differential equations in
cosmology    [PDF]

Jennie D'Ambroise, Floyd L. Williams

We obtain in terms of the Weierstrass elliptic $\wp-$function, sigma
function, and zeta function an explicit parametrized solution of a particular
nonlinear, ordinary differential equation. This equation includes, in special
cases, equations that occur in the study of both homogeneous and inhomogeneous
cosmological models, and also in the dynamic Bose-Einstein condensates -
cosmology correspondence, for example.

View original: http://arxiv.org/abs/1202.4422